Pith Number

pith:DAVLHHUN

pith:2011:DAVLHHUNUTIPJDNXSKCLZXDNPQ

not attested not anchored not stored refs pending

Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials

A. Bayad, T. Kim

arxiv:1101.2611 v1 · 2011-01-13 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAVLHHUNUTIPJDNXSKCLZXDNPQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:03:40.347969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182ab39e8da4d0f48db79284bcdc6d7c32fbef894a77349e5c6409d35817b454

Aliases

arxiv: 1101.2611 · arxiv_version: 1101.2611v1 · doi: 10.48550/arxiv.1101.2611 · pith_short_12: DAVLHHUNUTIP · pith_short_16: DAVLHHUNUTIPJDNX · pith_short_8: DAVLHHUN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DAVLHHUNUTIPJDNXSKCLZXDNPQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 182ab39e8da4d0f48db79284bcdc6d7c32fbef894a77349e5c6409d35817b454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999600cdf520deb76b582687edef2245f1c429928900203c574c1ed7f868a79b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-13T17:11:36Z",
    "title_canon_sha256": "dfa62190a6ae34a1f5bd5f39a4c4de24660fd40d0cda31ac97643166fafee9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2611",
    "kind": "arxiv",
    "version": 1
  }
}